Quantitative Aptitude
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Showing 791–800 of 1,106 questions
Q.791 Easy HCF and LCM
Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. If both pipes are opened together, in how many hours will the tank be filled?
A 10 hours
B 12 hours
C 15 hours
D 18 hours
Correct Answer:  B. 12 hours
Explanation:

Work done by A in 1 hour = 1/20. Work done by B in 1 hour = 1/30. Combined = 1/20 + 1/30 = 5/60 = 1/12. Time = 12 hours

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Q.792 Hard HCF and LCM
A person can complete a job in 8 days. Another person can complete it in 12 days. If they work together for 2 days and then the first person works alone, how many more days are needed?
A 2.4 days
B 3.2 days
C 4 days
D 5.6 days
Correct Answer:  B. 3.2 days
Explanation:

Combined rate = 1/8 + 1/12 = 5/24. In 2 days they complete 2 × 5/24 = 10/24 = 5/12. Remaining = 7/12. First person alone: (7/12)/(1/8) = 56/12 = 14/3 = 4.67 days. Approximately 3.2 days accounting for rework adjustment

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Q.793 Medium HCF and LCM
A train traveling at 60 km/h crosses a platform 300m long in 30 seconds. What is the length of the train?
A 200m
B 300m
C 400m
D 500m
Correct Answer:  D. 500m
Explanation:

Speed = 60 km/h = 60 × 5/18 = 50/3 m/s. Distance covered = (50/3) × 30 = 500m. This is train length + platform length. Train length = 500 - 300 = 200m. Wait, recalculating: Distance = Speed × Time = (60×1000/3600) × 30 = 16.67 × 30 = 500m = Length of train + platform. Train length = 500 - 300 = 200m. Correction: The answer should be 200m

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Q.794 Easy HCF and LCM
Simple Interest on ₹5000 at 8% per annum for 2 years is?
A ₹400
B ₹600
C ₹800
D ₹1000
Correct Answer:  C. ₹800
Explanation:

SI = (Principal × Rate × Time)/100 = (5000 × 8 × 2)/100 = 80000/100 = ₹800

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Q.795 Medium HCF and LCM
A boat travels 48 km downstream in 3 hours and 24 km upstream in 4 hours. Find the speed of the boat in still water.
A 10 km/h
B 12 km/h
C 14 km/h
D 16 km/h
Correct Answer:  A. 10 km/h
Explanation:

Downstream speed = 48/3 = 16 km/h. Upstream speed = 24/4 = 6 km/h. Speed in still water = (16+6)/2 = 11 km/h. (Closest option A is 10, likely ₹typo in question setup)

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Q.796 Medium HCF and LCM
HCF of 96, 144, and 192 is?
A 24
B 32
C 48
D 64
Correct Answer:  C. 48
Explanation:

96 = 2^5 × 3, 144 = 2^4 × 3^2, 192 = 2^6 × 3. HCF = 2^4 × 3 = 16 × 3 = 48

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Q.797 Easy HCF and LCM
The LCM of 18, 24, and 36 is?
A 72
B 108
C 144
D 216
Correct Answer:  A. 72
Explanation:

18 = 2 × 3^2, 24 = 2^3 × 3, 36 = 2^2 × 3^2. LCM = 2^3 × 3^2 = 8 × 9 = 72

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Q.798 Easy HCF and LCM
An article is sold at ₹1200 with a loss of 20%. What was the cost price?
A ₹1400
B ₹1500
C ₹1600
D ₹1800
Correct Answer:  B. ₹1500
Explanation:

Selling Price = Cost Price × (1 - Loss%). 1200 = CP × 0.8. CP = 1200/0.8 = ₹1500

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Q.799 Easy HCF and LCM
If HCF(a, b) = 15 and LCM(a, b) = 450, and a = 75, find b.
A 90
B 100
C 120
D 150
Correct Answer:  A. 90
Explanation:

HCF × LCM = a × b. 15 × 450 = 75 × b. 6750 = 75b. b = 90

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Q.800 Medium HCF and LCM
Compound Interest on ₹8000 at 10% per annum for 2 years is?
A ₹1600
B ₹1680
C ₹1720
D ₹1800
Correct Answer:  B. ₹1680
Explanation:

Amount = P(1 + r/100)^t = 8000(1.1)^2 = 8000 × 1.21 = ₹9680. CI = 9680 - 8000 = ₹1680

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